Question

In: Physics

A disk of radius 14 cm and has a mass of 10 kg is attached to...

A disk of radius 14 cm and has a mass of 10 kg is attached to a hub which is a
disk of mass 8 kg and radius 5cm. The disks are mounted on a frictionless axel
that runs through the center. A rope passes over the hub and supports a 10 kg
mass on one side and a 5 kg mass on the other. If the rope does not slip on the
hub,
a.) What is the tension in the segment of the rope that has the 10 kg mass
b.) What is the torque on the rope above the 5 kg mass?
c.) What is the angular acceleration?
d.) What is the velocity of the 10 kg mass after it has fallen 30 cm?

Solutions

Expert Solution


Related Solutions

A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09...
A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09 kg attached at the edge is rotating at 1.8 rev/s. The small mass suddenly flies off of the disk. What is the disk's final rotation rate (in rev/s)?
1. A uniform disk of mass M = 5.00 kg and radius r = 24.0 cm...
1. A uniform disk of mass M = 5.00 kg and radius r = 24.0 cm is mounted on a motor through its center. The motor accelerates the disk uniformly from rest by exerting a constant torque of 1.50 N · m. (a) What is the time required for the disk to reach an angular speed of 8.50 ✕ 102 rpm? (b) What is the number of revolutions through which the disk spins before reaching this angular speed? 2. A...
A uniform cylinder of radius 14 cm and mass 27 kg is mounted so as to...
A uniform cylinder of radius 14 cm and mass 27 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 9.3 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular...
10) A solid disk with a c of 1/2, mass of 2 kg, and radius of...
10) A solid disk with a c of 1/2, mass of 2 kg, and radius of 1.4 meters lies on a horizontally (so the normal force and weight can be ignored). A force of 9 Newtons is applied 0.37 meters directly to the right of center in the +x direction, a force of 25 Newtons is applied 0.80 meters directly below of center in the +x direction, and a force of 9 Newtons is applied at the edge of the...
A flywheel comprises a uniform circular disk with a mass of 97.0 kg and a radius...
A flywheel comprises a uniform circular disk with a mass of 97.0 kg and a radius of 1.1 m. It rotates with an angular velocity of 1420 rev/min. A constant tangential force is applied at a radial distance of 0.5 m. What is the initial kinetic energy of the wheel? (b) If the wheel is brought to rest in 133.0 s, what is the tangential force?
A disk with a c value of 1/2, a mass of 3 kg, and radius of...
A disk with a c value of 1/2, a mass of 3 kg, and radius of 0.29 meters, rolls without slipping down an incline with has a length of 6 meters and angle of 30 degrees. At the top of the incline the disk is spinning at 28 rad/s. How fast is the disk moving (the center of mass) at the bottom of the incline in m/s?
A solid sphere of radius 10 cm and mass 3.0 kg is rotating about its end...
A solid sphere of radius 10 cm and mass 3.0 kg is rotating about its end at 5.6 rev/s. what is its kinetic energy?
A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...
A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?
A solid disk of mass m1 = 9.3 kg and radius R = 0.22 m is...
A solid disk of mass m1 = 9.3 kg and radius R = 0.22 m is rotating with a constant angular velocity of ω = 31 rad/s. A thin rectangular rod with mass m2 = 3.9 kg and length L = 2R = 0.44 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? 2) What...
A disk with mass m = 11.8 kg and radius R = 0.31 m begins at...
A disk with mass m = 11.8 kg and radius R = 0.31 m begins at rest and accelerates uniformly for t = 17.2 s, to a final angular speed of ω = 31 rad/s. 1.What is the angular acceleration of the disk? 2. What is the angular displacement over the 17.2 s? 3. What is the moment of inertia of the disk? 4. What is the change in rotational energy of the disk?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT